Question

xy using algebra find the values of x and y. 21.

Explanation:

Step1: Find \( x \) using triangle properties

Since the triangle with \( 75^{\circ} \) has two sides marked equal (isosceles triangle), the base - angles are equal. So \( x = 75 \).

Step2: Find \( y \) using angle - sum property of a triangle

For the other triangle (also isosceles as two sides are marked equal), using the angle - sum property of a triangle (\( x + y+ x=180^{\circ} \)). Substitute \( x = 75^{\circ} \) into \( 75 + y+75 = 180 \). Then \( y=180-(75 + 75)=30 \).

Answer:

\( x = 75 \), \( y = 30 \)